{
  "id": "math/0311431",
  "version": "v1",
  "published": "2003-11-25T10:02:05.000Z",
  "updated": "2003-11-25T10:02:05.000Z",
  "title": "On sums of Fourier coefficients of cusp forms",
  "authors": [
    "Aleksandar Ivić"
  ],
  "comment": "5 pages",
  "journal": "Proc. IV Int. Conf. \"Modern Problems of Number Theory and its Applications\" (Tula, Sept. 2001), Pedagogical University of Tula, Tula, 2002, pp. 92-97",
  "categories": [
    "math.NT"
  ],
  "abstract": "The summatory function of $t_j(n^2)$ is estimated, where $H_j(s) = \\sum_{n=1}^\\infty t_j(n)n^{-s}$ is the Hecke series of a non-holomorphic cusp form. The analogous problem of holomorphic cusp forms is also treated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-25T10:02:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F72",
      "11M06"
    ],
    "keywords": [
      "fourier coefficients",
      "non-holomorphic cusp form",
      "holomorphic cusp forms",
      "hecke series",
      "summatory function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11431I"
    }
  }
}